The Fredholm index of a pair of commuting operators. II

DOI10.1016/j.jfa.2009.01.024zbMath1166.47009OpenAlexW2094380234MaRDI QIDQ1011414

Xiang Fang

Publication date: 8 April 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.01.024

zbMATH Keywords

Samuel multiplicityFredholm indexmultivariable operator theorysymmetric Fock spacea tuple of commuting operators

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) (Semi-) Fredholm operators; index theories (47A53) Linear operators on function spaces (general) (47B38)

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An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ Samuel multiplicity and the structure of essentially semi-regular operators: a note on a paper of Fang ⋮ An additive formula for Samuel multiplicities on Hilbert spaces of analytic functions ⋮ Estimates for Hilbertian Koszul homology ⋮ Transitive algebras and reductive algebras on reproducing analytic Hilbert spaces ⋮ Closed range property for holomorphic semi-Fredholm functions ⋮ Unitary invariants for Hilbert modules of finite rank ⋮ Fiber dimension for invariant subspaces

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